The Lu Qi-Keng conjecture fails for strongly convex algebraic complete Reinhardt domains in ℂⁿ(𝕟≥3)

Viêt Anh, Nguyên

doi:10.1090/S0002-9939-99-05228-4

The Lu Qi-Keng conjecture fails for strongly convex algebraic complete Reinhardt domains in $\mathbb {C}^n\ (n \ge 3)$
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Proc. Amer. Math. Soc. 128 (2000), 1729-1732 Request permission

Abstract:

In this note, we give an example of a strongly convex algebraic complete Reinhardt domain which is not Lu Qi-Keng in ${\mathbb {C}}^{n}$ for any $n \geq 3.$

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